Stochastic Stabilization of Itô Stochastic Systems with Markov Jumping and Linear Fractional Uncertainty | Zendy

Fei Long | Zendy; Hongmei Huang | Zendy; Adan Ding | Zendy

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Stochastic Stabilization of Itô Stochastic Systems with Markov Jumping and Linear Fractional Uncertainty

Author(s) -

Fei Long,

Hongmei Huang,

Adan Ding

Publication year - 2013

Publication title -

journal of control science and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 18

eISSN - 1687-5257

pISSN - 1687-5249

DOI - 10.1155/2013/697849

Subject(s) - control theory (sociology) , mathematics , lyapunov function , state (computer science) , markov chain , markov process , stability (learning theory) , jumping , mathematical optimization , computer science , control (management) , nonlinear system , algorithm , statistics , physiology , physics , quantum mechanics , artificial intelligence , machine learning , biology

For a class of Itô stochastic linear systems with the Markov jumping and linear fractional uncertainty, the stochastic stabilization problem is investigated via state feedback and dynamic output feedback, respectively. In order to guarantee the stochastic stability of such uncertain systems, state feedback and dynamic output control law are, respectively, designed by using multiple Lyapunov function technique and LMI approach. Finally, two numerical examples are presented to illustrate our results

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